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Popular >

3sin(x)+2sin^2(x)=-1

Solution

3 sin (x) + 2 sin^{2} (x) = - 1

Solution

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

+1

Solution steps

3 sin (x) + 2 sin^{2} (x) = - 1

Solve by substitution

sin (x) = - \frac{1}{2}, sin (x) = - 1

sin (x) = - \frac{1}{2} : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

Popular Examples

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3 cos^{2} (x) - 2 cos (x) - 2 = 0, 0 \leq x < 2 π

sin(x+pi/4)+sin(x-pi/4)+(sqrt(6))/2 =0

sin (x + \frac{π}{4}) + sin (x - \frac{π}{4}) + \frac{6}{2} = 0

tan(θ)= 500/300

tan (θ) = \frac{500}{300}

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Frequently Asked Questions (FAQ)

What is the general solution for 3sin(x)+2sin^2(x)=-1 ?
The general solution for 3sin(x)+2sin^2(x)=-1 is x=(7pi)/6+2pin,x=(11pi)/6+2pin,x=(3pi)/2+2pin